Yazar "Bayram, Nilay Sahin" seçeneğine göre listele

Listeleniyor 1 - 4 / 4
  • [ X ]
    Öğe
    An extension of Korovkin theorem via power series method
    (Springer Basel Ag, 2022) Yildiz, Sevda; Bayram, Nilay Sahin
    In the present work, using the power series method, we obtain various Korovkin-type approximation theorems for linear operators defined on derivatives of functions. We also explain that our theorem makes more sense with a striking example. We study the quantitative estimates of linear operators. In the final section, we summarize our new results.
  • [ X ]
    Öğe
    Approximation by statistical convergence with respect to power series methods
    (Hacettepe Univ, Fac Sci, 2022) Bayram, Nilay Sahin; Yildiz, Sevda
    In the present work, using statistical convergence with respect to power series methods, we obtain various Korovkin-type approximation theorems for linear operators defined on derivatives of functions. Then we give an example satisfying our approximation theorem. We study certain rate of convergence related to this method. In the final section we summarize these results to emphasize the importance of the study.
  • [ X ]
    Öğe
    Approximation theorems via Pp-statistical convergence on weighted spaces
    (Walter De Gruyter Gmbh, 2024) Yildiz, Sevda; Bayram, Nilay Sahin
    In this paper, we obtain some Korovkin type approximation theorems for double sequences of positive linear operators on two-dimensional weighted spaces via statistical type convergence method with respect to power series method. Additionally, we calculate the rate of convergence. As an application, we provide an approximation using the generalization of Gadjiev-Ibragimov operators for P-p-statistical convergence. Our results are meaningful and stronger than those previously given for two-dimensional weighted spaces.
  • [ X ]
    Öğe
    Construction of Bivariate Modified Bernstein-Chlodowsky Operators and Approximation Theorems
    (Padova Univ Press, 2023) Yildiz, Sevda; Bayram, Nilay Sahin
    In this paper, we modified Bernstein-Chlodowsky operators via weaker condition than the classical Bernstein-Chlodowsky operators' condition. We get more powerful results than classical ones. We obtain aproximation properties for these positive linear operators and their generalizations in this work. The rate of convergence of these operators is calculated by means of the modulus of continuity and Lipschitz class of the functions off of two variables. Finally, we give some concluding remarks with q-calculus.